## Structural models: an introduction to the theory of directed graphs |

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### Contents

Digraphs and Structures | 1 |

Joining and Reaching | 30 |

Connectedness | 50 |

Copyright | |

15 other sections not shown

### Common terms and phrases

1-basis 2-joined 3-between 3-connected acyclic digraph adjacency matrix balanced block chapter closed sequence complete order complete path concept condensation connectedness consists contains Corollary corresponding cut point cycle of length cyclic triples digraph of Figure digraph theory disconnected distance matrix empirical entry exactly example fundamental set geodesic Hence illustrate Implies incentral inradius integer isograph level assignment line basis line invulnerable line uv line vtvj minimum number mutually reachable number of lines number of points obtained ordered pairs outdegree pair of points path from vt point basis point vt probability vector properties prove r-point reachability matrix relation result rumor semicycle semipath joining set of lines set of points shown in Figure signed digraph strictly unilateral strictly weak strong component strong digraph structure subgraph subset symmetric digraph Theorem tournament transitive transitive closure transmitter unilateral digraph unique vt and vj vt to vj vtv2 weak component weak digraph weakening points